585.95 is what percent of 3939.95 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3939.95 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3939.95, so we can write it down as 100%=3939.95.
4. We know, that x% equals 585.95 of the output value, so we can write it down as x%=585.95.
5. Now we have two simple equations:
1) 100%=3939.95
2) x%=585.95
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3939.95/585.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 585.95 is what percent of 3939.95

100%/x%=3939.95/585.95
(100/x)*x=(3939.95/585.95)*x       - we multiply both sides of the equation by x
100=6.7240378871917*x       - we divide both sides of the equation by (6.7240378871917) to get x
100/6.7240378871917=x
14.872016142337=x
x=14.872016142337

now we have:
585.95 is 14.872016142337% of 3939.95